Lorna Jane, an Australian maker and seller of women's workout clothing that is up for sale, has attracted buyer interest from Foot Locker Inc. and private-equity firms, according to people familiar with the matter.

Manhattan-based Foot Locker and private-equity firms Advent International and Bain Capital are among potential buyers submitting first-round bids for Lorna Jane, some of the people said. Lorna Jane hired investment bankers...